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Finding the Fourth Proportional to 545.27, 748.17 and 540.10

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Solution

The fourth proportional to 545.27, 748.17 and 540.10 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.27 : 748.17 = 540.10 : x
  2. Step 2: Convert to fraction form
    545.27/748.17 = 540.10/x
  3. Step 3: Cross multiply
    545.27x = 748.17 × 540.10
  4. Step 4: Simplify right side
    545.27x = 404,087.55
  5. Step 5: Solve for x
    x = 404,087.55/545.27
  6. Step 6: Final answer
    x = 741.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.